Quantum capacity of the depolarizing and qubit Pauli channels

Determine the quantum capacity of qubit Pauli channels; even the depolarizing channel's zero-capacity threshold is only known to lie between 0.064956 and 1/12.

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	1	+{
	2	+ "domain": "physics-astronomy",
	3	+ "topics": [
	4	+ "quantum-information",
	5	+ "coding-theory"
	6	+ ],
	7	+ "type": "proof",
	8	+ "also": [
	9	+ "construction"
	10	+ ],
	11	+ "source": {
	12	+ "key": "qiqcop",
	13	+ "name": "QIQCOP Zoo",
	14	+ "url": "https://qiqc-op.com/problem/op_43d4aca67bd52554/",
	15	+ "id": "op_43d4aca67bd52554",
	16	+ "curator": "Bikun Li, Qicheng Tang, Changhao Li, Chengkai Zhu, Minbo Gao, Zhong-Xia Shang, Bin Cheng and Naixu Guo",
	17	+ "poser": "Bennett, DiVincenzo, Smolin and Wootters (1996) and DiVincenzo, Shor and Smolin (1998), implicitly",
	18	+ "status": "unsolved",
	19	+ "as_of": "2026-10-20",
	20	+ "catalog": "0521c19bbd38"
	21	+ }
	22	+}